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International Journal of Mathematical, Engineering and Management Sciences
Vol. 5, No. 6, 1498-1515, 2020
https://doi.org/10.33889/IJMEMS.2020.5.6.111
1498
Concept for a Supply Chain Digital Twin
Sergey Yevgenievich Barykin Graduate School of Service and Trade,
Peter the Great St. Petersburg Polytechnic University,
Polytechnicheskaya, 29, 195251, St. Petersburg, Russian Federation.
E-mail: [email protected]
Andrey Aleksandrovich Bochkarev St. Petersburg School of Economics and Management,
Department of Logistics and Supply Chain Management,
National Research University, Higher School of Economics,
Saint-Petersburg branch, Str. Kantemirovskaya, 3A, 194100, St. Petersburg, Russian Federation.
E-mail: [email protected]
Olga Vladimirovna Kalinina Graduate School of Service and Trade,
Peter the Great St. Petersburg Polytechnic University,
Polytechnicheskaya, 29, 195251, St. Petersburg, Russian Federation.
E-mail: [email protected]
Vladimir Konstantinovich Yadykin Competence Center of the National Technological Initiative,
Direction of New production Technologies, Institute of Advanced Production Technologies,
Peter the Great St. Petersburg Polytechnic University,
Polytechnicheskaya, 29, 195251, St. Petersburg, Russian Federation.
Corresponding author: [email protected]
(Received February 17, 2020; Accepted August 19, 2020)
Abstract
There is currently a discussion going on in the scientific community about using digital twins and modeling to manage
risks in the supply chains. This need for constructing digital twins is caused by the low reliability and stability of supply
chains due to the faults in their operation. These faults are a result of risks in the supply chains which can be consolidated
into two types. The first type is operational risks. These are the current risks of the supply chain itself caused by an
uncertainty of supply and demand as well as by an obstructed flow of information along the supply chain. The second
type is critical risks caused by force majeure. These risks disrupt the normal operation of the supply chain and critically
reduce the most important performance indicators of the company such as annual income and profits. Risks happen due
to natural or man-made causes such as fires and floods in the distribution centers or at production facilities, legal disputes
with suppliers, strikes, terrorist attacks on logistics facilities and others. Dynamic simulation and analytical optimization
are two dominant technologies for managing risks of the supply chains, which helps to increase their reliability and
stability if failures occur. Through optimizing and simulating of the supply chains, companies can generate new infor-
mation about the impact of failure and influence the supply chain and its performance by looking at various scenarios
that simulate the locations of failures, the duration and recovery policies. An analysis of the literary sources shows that
there is no single approach to build the concept for a supply chain digital twin. This article gives an overview of the
literature according to this problem and offers the author's point of view on the concept for a supply chain digital twin.
Keywords - Supply chains, Optimization, Simulation, Digital twin.
International Journal of Mathematical, Engineering and Management Sciences
Vol. 5, No. 6, 1498-1515, 2020
https://doi.org/10.33889/IJMEMS.2020.5.6.111
1499
1. Introduction Creating a sustainable supply chain means balancing between reliability and flexibility. Both of
these supply chain properties can act as airbags against uncertainty and should be taken into account
when planning. Outdated logistics solutions have not justified themselves in the digital age. Decen-
tralized communication gives way to more accurate and modern solutions.
The combination of simulation, optimization, and data analytics is the basic technology allowing a
fairly detailed model of the real supply chain – its digital twin – to be created. The idea behind
creating a digital twin is to manage the risks in supply chains, thus making them more reliable and
sustainable in the event of any failures.
Simulation and optimization are those basic technologies that are used primarily as strategic plan-
ning tools. However, the quality of making decisions when risks occur depends drastically on the
timely availability of relevant data since decisions should often be made immediately.
Modern technologies allow collecting large amounts of data on supply chains online: supply failure
probabilities and suppliers’ data such as their financial condition and production capabilities. The
management technologies used in supply chains allow the critical hot spots to be identified and give
timely warnings about incidents which can have a critical impact on the supply chain.
All of this real-time data regarding failures can be included in the simulation model along with nat-
ural, financial or political risks. Integrating simulation and optimization with online or “live” data
makes it possible to use simulations for strategic planning. A number of scientific studies (Ivanov et
al., 2019; Ivanov and Dolgui, 2019a; Ivanov and Dolgui, 2019b; Popkov et al., 2019) show that this
kind of strategic simulation of a supply chain, which includes optimization models and data analyt-
ics, is a supply chain digital twin. This view, in our opinion, is a reflection of the prevailing practice
of planning and modeling supply chains but not a result of the scientific understanding of the concept
of a supply chain digital twin (Klochkov et al., 2019).
The concept for a supply chain digital twin should answer the following questions. Firstly, what
combination of simulation modeling, optimization, and data analytics makes up the full range of
technologies needed to create a digital twin model of the supply chain?
Secondly, how accurate or detailed should the simulation model be so that it can be called a supply
chain digital twin and on what issues should we get an answer in the modeling process?
Thirdly, which concept of the supply chain digital twin is the most efficient? What is the optimal
combination of analytical optimization and dynamic simulation? Here two main approaches are con-
sidered:
a) analytical optimization is a complement to the dynamic simulation;
b) dynamic simulation is a complement to the analytical optimization.
2. Literature Overview of Using Industry 4.0 Solutions in SCM In 2011, the concept of Industry 4.0 entered scientific parlance, with the prospect of joining things
and services into a global commercial network. Speaking more broadly, Industry 4.0 characterizes
the current development trend of automation and data exchange. It is a new level of organizing
production and value chain management over the whole life cycle of manufactured goods.
International Journal of Mathematical, Engineering and Management Sciences
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Industry 4.0 is usually described by pointing to the key technologies of today and the near future:
big data, the Internet of Things, virtual and augmented reality, additive manufacturing (3D printing),
digital design and modeling, artificial intelligence, materials with specific properties, self-driving
transport and robotics (Tarasov, 2018).
The paper (Petrović et al., 2020) describes the specific mechanism (OPIL) to show and try to address
the challenge of incorporating robots and IT infrastructure into logistics automation.
The authors suggest implementing omnidirectional automated guided vehicles (AGV) into the ro-
botic system for process automation. The OPIL structure includes four layers of computerization
(from zero to three). Layer One architecture components interact with the physical world (Layer
Zero). They communicate with the outer world by sensing (Sensor Agent Node), acting (Robotic
Agent Nodes) or communicating via interface with personnel (Human Agent Nodes). The OPIL
framework features robot agents with two basic operation modes: product transportation inside a
production plant and product handling (loading and unloading) to transport the latter from the plant
to the AGV and other way around. The Cyber Physical Middleware (Layer Two) decouples the
components communicating with the physical world from other software components and enables
interoperability and communication between the Layer One IoT (Internet of Things) nodes and other
OPIL components. The Layer 3 is the highest level of OPIL containing the full set of services the
platform can offer to the end user. This layer consists of three main modules: Task Planner, Ad-
vanced HMI (Human-machine interface), and the Sensing and Perception module. The Task Planner
module is built in to provide motion tasks planning of various robot agents present in the OPIL
architecture. It becomes possible through the Motion Task Planning submodule. It is also required
for making and optimizing tasks to be sent to various agents of the OPIL architecture through Busi-
ness Process Optimization submodule. Task Supervisor submodule performs monitoring and exe-
cution of the tasks dispatched to the agents. The Advanced HMI OPIL node consists of three differ-
ent submodules. There are two key features of the Task Monitoring and Control submodule: it pro-
vides subscription and visualization of information present at OPIL as well as controls operations,
tasks and other actions scheduled by OPIL or personnel. The Task Parameterization submodule is
necessary to collect and parameterize data collected from Enterprise Applications. Based on the task-
related information sent by the Task Monitoring and Control submodule as well as task-specific
parameters collected from the Task Parameterization submodule, the Task Specification submodule
formulates a new task. The Sensing and Perception component allows OPIL to generate information
necessary for safe and accurate motion planning and provide it to the OPIL system’s actors such as
Robotic Agent Nodes (RAN).
This open platform for innovations in logistics, which was originally developed by (Petrović et al.,
2020) offers a new approach to digital logistics control. But the system overlooks specific features
of supply chain digital transformation. In our point of view, the key challenge of impacting digital
transformation of supply chains is the challenging ability to control a large-scale global logistics
networks notwithstanding constant advancement of computer systems. (Vorobyov et al., 2019) as-
sumes that rapid changes make a person powerless and pushes people to effective cooperation, which
is not in the nature of humans. By all means, artificial intelligence and robotics facilitate and auto-
mate a large number of tasks. However, one should consider the following. Rapid growth of com-
puter efficiency pushes down the market value of an economic agent and makes people cooperate
while designing the logistics networks contradicting the economical traditions of competitiveness
existing prior to digitalization. This is a very important fact as the supply chain stakeholder’s inter-
ests shall not be set aside.
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According to (Kauf, 2019), smart logistics includes implementation of a wide range of tools to fully
automate logistic tasks, as well as novel intelligent technologies and smart solutions, contributing to
logistic system’s functioning. These are:
Intelligent transportation systems (ITS);
Autonomous logistics. These are the systems making it possible to provide unmanned and au-
tonomous movement of people and cargo with minimum labour force;
Physical internet. It provides the ability to move the goods anywhere in short amount of time
most effectively reaching economic, social and environmental balance;
Intelligent cargo. These are goods having the information about their place of location, destina-
tion, time of delivery to the place of destination and reloading personnel;
Self-organizing logistics. It is a special system with the ability to operate with low effort from
the manager and engineer side.
All these features described in the paper by Kauf (2019) should be investigated and implemented
into the system in order to develop the concept for the supply chain digital twin. This is the key
element of our research.
Le et al. (2020) tried to measure customer satisfaction with the logistics services regarding port
service delivery and proved the following hypothesis:
H1: Empathy improves quality of services (expectation +)
H2: Reliability improves quality of services (expectation +)
H3: Assurance improves quality of services (expectation +)
H4: Responsiveness improves quality of services (expectation +)
H5: Tangibles improve quality of services (expectation +)
H6: Quality of service has a positive impact on customer satisfaction (expectation +)
The work Le et al. (2020) shows the service flow moving from port staff to customers via the Service
delivery system using hard (tangible) and soft (intangible) platforms (indicated by red arrows). Both
financial and information flows are indicated by blue arrows. Customers satisfaction grows in the
process of using services thanks to the stated components.
We agree that customer satisfaction with Port’s logistics services is directly connected to the overall
service quality. It means that the supply chain digital network design should include those parame-
ters mentioned above.
Various points of view exist on the key technologies of Industry 4.0. The work Essakly et al. (2019)
points out that there are five solutions of Industry 4.0: predictive production control, decentralized
automated guided vehicles, additive manufacturing, digital twins, and digitally assisted assembly.
According to the authors, the connection between the Industry 4.0 solutions and these pillars of
technology can be represented as follows.
Thus, digital twins of the production process include such technologies as simulation, the industrial
Internet of Things and big data.
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Unity Technologies (USA) provides an alternative view of the range of key Industry 4.0 technolo-
gies in supply chains. The authors have given the name Logistics 4.0 to the application of Industry
4.0 technologies in logistics and supply chain management. According to analysts from this com-
pany, the list of key technologies is as follows: Open and Flexible Operations Footprint; Predictive
Inbound Logistics Management (Big Data); No Warehouse in Supply Chain; Autonomous FТS on
open area steered by production machine; Predictive Delivery Management; Autonomous Transpor-
tation Vehicle / Equipment (Logistics 4.0 and smart supply chain management in Industry 4.0,
https://www.i-scoop.eu/industry-4-0/supply-chain-management-scm-logistics/ ).
The necessary future steps for Logistics 4.0 and Supply Chain 4.0 were explained in (https://www.i-
scoop.eu/industry-4-0/supply-chain-management-scm-logistics/).
The main technological trends of Industry 4.0 are digital design and simulation, new materials, and
additive manufacturing. These technological areas have received more attention recently from high-
tech industry businesses, the government, and the science and business communities. In 2016, Rus-
sian companies listed in the yearly national rating of fast-growing high-tech companies “TechUs-
pech” participated in a survey in which, in particular, they answered the question about which current
technology trends they consider to be an opportunity to create new products or give new properties
to already existing positions (Borovkov et al., 2018).
Figure 1. Answers to the question “Which of the following areas your company considers an opportunity to
create new products or feature new properties to already existing positions” (percent of all surveyed compa-
nies)
50
35
27 27 2724
16 1613 11 10 8 8 8
51
17
Dig
ital
Des
ign a
nd M
odel
ing
Addit
ive
Tec
hnolo
gie
s (3
D-
pri
nti
ng)
Mat
eria
ls w
ith d
esir
ed p
roper
ties
Roboti
cs
Inte
rnet
of
Thin
gs
(IoT
)
Big
dat
a
Sm
art
mat
eria
ls
Pow
erfu
l en
ergy s
tora
ge
Fuel
cel
ls
Mac
hin
e le
arnin
g
Quan
tum
Tec
hnolo
gie
s
(Quan
tum
Com
puti
ng)
Bio
chip
s
Neu
rote
chnolo
gie
s an
d n
euro
inte
rfac
es
Augm
ente
d R
eali
ty
Guid
ed g
enom
e ed
itin
g
Blo
ckch
ain
Oth
er d
irec
tion
s
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According to the results of the survey, the top five technologies were generally associated with In-
dustry 4.0 (Figure 1):
— digital design and simulation (50% of companies mentioned this set of technologies);
— additive manufacturing (3D-printing) (35%);
— materials with specific properties (27%);
— robotics (27%);
— Internet of Things (IoT) (27%).
Ivanov and Dolgui (2019a) in his paper presents a circuit diagram of a digital twin as a triad —
Digital Twins: Simulation + Optimization + Data Analytics. Besides simulation, optimization, and
data analytics, in his paper he also adds the following to the key technologies of supply chain digital
twins: RFID, the Internet of Things (IoT), track and trace systems (T&T), online risk databases.
The diagram for forming a source database for scientific review on the topic of a digital twin concept
is presented in Figure 2.
Figure 2. Diagram of research method (developed by the authors)
First 10 pages resulting in 90 papers
ScienceDirect search for “Industry 4.0 Solu-
tions and Digital twin in Supply Chain” Three seminal works for “Digital twin in Sup-
ply Chain”:
1. Ivanov (2019);
2. Ivanov et al. (2019b);
3. Ivanov (2019a)
Remove duplicates and filter to only those di-
rectly relevant to “Industry 4.0 Solutions” and
“Digital twin in Supply Chain”
31 papers
Three core themes
Thematic analysis
Discussion on the Industry
4.0 methods in SCM
Discussion on the concept of
a digital twin of the Supply
Chain
Discussion on the choice of a
program for modeling and
optimizing the digital twin in
Supply Chain
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A.I. Borovkov provides the following definition: a digital twin is a collection of complex multi-
disciplinary mathematical models highly appropriate for real materials, physical facilities / construc-
tions / machines / devices … / technical and cyber-physical systems, physical-mechanical processes
(including technological and manufacturing processes), which can be described by 3D unsteady and
non-linear partial differential equations. A digital twin should and is able to solve the issues of the
place and object of measurement. In other words, it can point to critical areas where sensors must be
installed as well as key features necessary for measuring deformation, temperature, pressure, vibro-
displacement, vibro-acceleration, and other criteria. Upon completion of all measurements the sys-
tem should be able to store, process, transfer, and protect large amounts of data (big data). It is of
key importance to distinguish digital twins from digital shadows. The latter are the systems of links
and connections describing the average behavior of a real object/product in normal work conditions.
These systems are stored in redundant big data received from a real object/product using multiple
sensors and industrial internet technologies (Borovkov and Ryabov, 2019). The analysis of literature
shows that the range of technologies supply chain digital twins are based on is fairly wide. Risk
management, supply chain monitoring, and network optimization (NOM) should be added to the
key technologies listed above.
Table 1 presents an attempt to summarize the research on using Industry 4.0 solutions in logistics.
Thus, there is no single opinion in the scientific community around which Industry 4.0 methods and
technologies are used in logistics.
By analyzing the literature presented in Table 1, the following conclusions and summaries can be
made:
a) Most of the authors agree that supply chain digital twins are based on simulation, optimization,
and data analytics. Likewise, big data, supply chain design, and network optimization are often
added to the range of the key technologies of a supply chain digital twin.
b) The importance of a technology like supply chain monitoring is underlined as a key technology
of supply chain digital twins only in two papers, while supply chain risk analytics is mentioned in
three. In our opinion, this is due to the fact that these technologies are mainly associated with phys-
ical supply chains and not with their digital twins. Cyber security as well is not considered by most
of the authors to be a key technology for a supply chain digital twin.
c) Among other Industry 4.0 technologies, which can be used in logistics and supply chain manage-
ment, the authors most frequently mention cloud computing, RFID, QR-code, and autonomous ve-
hicle / equipment transportation as well as information technology like ERP, SCM, MES, CRM,
PLM, and others.
d) It is noteworthy that all the papers on the subject were written in 2018 — March 2020. For this
reason, it is currently difficult to talk about any kind of evolution regarding the opinion of experts
on the issue of using Industry 4.0 solutions in managing supply chains. In a number of papers, for
example Ivanov (2018), Ivanov et al. (2019) and Medini et al. (2019), the majority of the key Indus-
try 4.0 technologies is considered as such in supply chain management. However, not all authors are
in agreement on the topic.
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Table 1. Summary of research on using Industry 4.0 solutions in supply chain management (created by au-
thors)
Author Year
Connec-
tion of In-dustry 4.0
to Digital
twin
Industry 4.0 methods in SCM
Simula-
tion
Optimiza-
tion
IoT & Block
chain
Cyber
security Big data
Data Ana-lytics &
BI
SC moni-
toring
SC design
& NOM
SC risk
analytics Other
Borovkov et
al. 2018 + + + + + +
Ivanov et al. 2019 + + + + + + + +
Jeon and Suh 2018 + + + + +
Kunath and Winkler
2018 + + + +
Müller, et al. 2018 + + +
Dittrich, et al. 2019 + + + + +
Essakly et al. 2019 + + + + + +
Ivanov and
Dolgui 2019a + + + + +
Ivanov et al. 2019 + + + + + + + +
Jones et al. 2020 + +_ + + + +
Unity Tech-
nologies 2019 + + + +
Mantravadi,
and Møller 2019 + +
Matsuda et al. 2019 + + + +
Medini et al. 2019 + + + + + + + +
Pan, S. 2019 + + + + + +
Popkov, et al. 2019 + + + +
Singh et al. 2019 + + + +
3. Concept of a Supply Chain Digital Twin All these differences lead us to an obvious conclusion – traditional supply chains may no longer be
sufficient in the digital transformation era. Modern markets demand not only efficiency from supply
chains, but agility and flexibility as well. Today’s supply chain is evolving from the traditional model
of linear, individual, dis-synchronized relations into a more connected and harmonized network of
trading partners. This renovated supply chain is expected to be digital and able to provide on-demand
services. So, it has to be transformed through digital interconnected devices and complex networks.
This digital supply chain would link different stakeholders (including customers) more efficiently,
enabling them to react faster and to better adapt to a fast-changing market. Transition from Tradi-
tional Supply Chain to Digital Supply Chain was originally disclosed by De Souza (De Souza et al.,
2017).
Capgemini Consulting (Raab and Griffin-Cryan, 2011) explains five transformation dimensions as
follows:
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3.1 Digital Supply Chain Strategy The aim is to integrate digital initiatives into the overall supply chain strategy.
3.2 Supply Chain Operating and Governance Model. It is a special digital operating model, in which data is no longer depending on location. Large
companies operating on a global scale will consider in more detail internal alignment committees.
3.3 Integrated Execution It is of great importance to implement various supply chain functionality. The key goal is to develop
an end-to-end processes providing employees with all the information they need.
3.4 Integrated Supply Chain Performance Measurement This feature gives the opportunity to trace every order or transaction via Digital Operating Model.
Tagging technologies, when one starts using barcodes or RFID marks, open a way to receive real-
time data regarding physical relocation.
3.5 Supply Chain Technology Architecture and Infrastructure Technology Architec-
ture These types of architecture include the design logic for business processes and IT infrastructure t.
As a result of McKinsey analysis of challenges that a new supply chain operating model offers, the
scientist provided seven obligatory activities to help producers and retailers improve their supply
chain operating model (Kuntze et al., 2019). A next-generation model offers the correct preliminary
conditions to receive maximum benefit from supply chain digitalization. Companies can become
even more competitive for a long period of time. These seven steps for operating model improve-
ment should change the supply chain as follows:
(i) Unconditional Challenge Modern and successful companies review all planning and logistics management processes of their
company and are ready to seriously redesign the latter.
Digitization offers a better integration of planning and management steps. For example, optimiza-
tion of the following areas like tactical production planning and operational scheduling. The com-
pany receives better planning results and can easier automate end-to-end processes. In the course
of the said review, every process should be discussed and all the steps that don’t add value should
be removed.
(ii) Cross-Functional Teams Deployment Recently, each supply chain process specialization. But when every unit starts optimizing itself,
general efficiency goes down. Major companies decided to stop this overspecialization.
(iii) Centralization Procter & Gamble or Unilever and other large companies have been centralizing their planning and
logistics management at a regional or even global level for a long time. It helps organizations to
accumulate materials and construct centers of excellence and implement advanced analytics.
(iv) Assigning project Teams with Technology Development Digital giants like Amazon and Zalando have already using a policy of stacking commercial process
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ownership and technology development. In this regard, companies should do the same and assign
small, high-performance product teams to develop new technology solutions, instead of their large
IT departments.
These groups include cross-functional staff and can take responsibility for fast and efficient devel-
opment of innovative solutions. This approach, for example, helped a retailer to improve an order
management module and address the issue of its constant delays within budget in a short period of
time.
(v) Decision-Making Process Acceleration Digital supply chain innovations in pilot projects require flexible tests. That is why agile principles
implementation is connected with continuous progress monitoring as well as strict decisions on
continuation or stopping the project.
(vi) A Zero-Based Approach Adoption It is very difficult to change organizational structure or redistribute resources.
(vii) Building Up Dynamic Capabilities Data scientists (analytical solutions and algorithms development experts) and digital translators
(employees at the interface between business and analytics) are of particular importance. But some-
times it is difficult to train the right personnel within the company itself.
We could agree with the McKinsey’s research (Alicke et al., 2017) proving that the potential ben-
efits of Supply Chain 4.0 in consumer goods are multiple. The expectations are as follows: 75
percent fewer lost sales, up to 30 percent lower operational costs as well as up to 75 percent de-
crease in inventories. Additionally, the agility of the supply chains rises sharply. McKinsey’s anal-
ysis shows a high correlation of three performance indicators.
— Supply-chain service/lost sales.
— Improved interaction with the customer via the supply chain significantly increases service level.
— Supply chain costs. Changes in transportation, warehousing and overall network organization
can reduce costs by up to 30 percent. Advanced methods of calculating the clean-sheet costs (bot-
tom-up calculation of the “true” costs of services) of transportation and warehousing as well as
network optimization can lead to about 50 percent of this improvement. The goal is to have mini-
mum touch points and minimum distance driven at a high level of customer service.
For planning or forecasting only basic algorithms are used. Only a few data scientists are required
to improve company’s digital maturity.
McKinsey offered an important observation, which should also be noticed in view of digital trans-
formation considering that IT sector is organized around a set of modular “platforms” (Bossert and
Desmet, 2019). The question of how thorough or detailed a simulation should be for it to be called
the digital twin of a supply chain and which questions are answered during the simulation process
is also debatable. The minimum set of functions a supply chain digital twin should have are as
follows:
— planning the location of the facility;
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— center of gravity method or the Greenfield Analysis (GFA);
— Network Optimization method (NOM) using a mixed linear programming;
— planning the throughput of distribution centers;
— creating inventory management and order policies;
— creating a supply management policy (one or several suppliers);
— creating a transport policy (full truckload / FTL or less-than-truckload / LTL)
accounting for restrictions in transportation, production, and sales;
— risk analysis in the supply chain.
A view of the conceptual model of a supply chain digital twin is presented by the AnyLogic Com-
pany In our opinion, the conceptual model of a supply chain digital twin presented by the AnyLogic
Company is sufficiently complete, including such methods as scenario planning, analytic optimi-
zation methods (GFA, NOM, Vehicle routing problem (VRP)), simulation, and support of manage-
ment decision making.
Paper Ivanov (2018) notes that a combination of simulation modeling, optimization, and data ana-
lytics makes up the complete range of technologies needed to create a supply chain digital twin
model. This model is integrated with online data flow and can be used in risk management. Ivanov
D. considers the interaction of the supply chain digital twin with a Risk Data Monitoring Module,
BI Systems, and ERP System.
Along with choosing the concept for a supply chain digital twin, it is necessary to select a covering
or instrumental environment, in which simulation and optimization are carried out. Simulation mod-
eling packages like ARENA, EXTEND, AnyLogic, Anylogistix, as well as instrumental environ-
ments designed for the quick development and deployment of solution optimization models using
mathematical programming such as IBM ILOG CPLEX Optimization Studio, Analytic Solver Plat-
form, and others, can be used as the instrumental environment for simulation and optimization.
Conceptual model of a supply chain digital twin was considered by D. Ivanov [(Ivanov, 2018), p.
11].
As a rule, creating a detailed supply chain model which can be called a digital twin requires the
simultaneous use of simulation and optimization. For example, if Anylogistix acts as the instru-
mental environment then the architecture of the supply chain digital twin will look like what is
presented in Figure 3.
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Figure 3. Architecture of a supply chain digital twin in Anylogistix
If IBM ILOG CPLEX Optimization Studio is used as the instrumental environment, the architecture
of the supply chain digital twin will look like one presented in Figure 4.
In the approaches examined above, the analytic optimization is used in order to determine the op-
timal coordinates for the location of new facilities (distribution centers, warehouses) using the
Greenfield Analysis (GFA) or Network Optimization (NOM) methods, while the dynamic simula-
tion allows a highly detailed modeling to be done of the processes taking place at production sites
and logistics infrastructure facilities.
Figure 4. Architecture of a supply chain digital twin in IBM ILOG CPLEX optimization studio
Supply chain model
Analytic optimization (IBM ILOG CPLEX Optimization Studio)
Dynamic simulation (AnyLogic + Java)
Linear program-
ming. Integer program-
ming Heuristics Discrete-event
simulation System dynam-
ics
AnyLogistix
Agent-based
Supply chain model
Analytic optimization (CP Optimizer)
Dynamic simulation (CPLEX C++, CPLEX for Python)
Linear program-
ming Integer program-
ming Heuristics
Discrete-event
simulation System dynam-
ics
IBM ILOG CPLEX Optimization Studio
Agent-based
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Interaction of a supply chain digital twin with risk management module and other external systems
were developed by D. Ivanov [(Ivanov, 2018), p. 10]
The differences in the approaches can be seen in that, in the first case, the environment for develop-
ing the supply chain digital twin is the system Anylogistix, which is integrated with CPLEX in order
to find the optimal number and location of supply chain nodes using GFA and NOM. It also uses
the plug-ins AnyLogic and Java, which help create algorithms which model facilities and processes
with complex logic. In the second case, the development environment is IBM ILOG CPLEX Opti-
mization Studio, which allows a supply chain to be simulated at both the macro and micro level.
This development environment has built-in modules and programming languages which help to cre-
ate detailed supply chain models to the necessary level of intricacy. Thus, in the approach used in
the first case, the analytical optimization is a complement to the dynamic simulation, while in the
second case, the dynamic simulation is a complement to the analytical optimization.
There is a question on which of the approaches examined above should be granted preference. In
our opinion, the advantage of the first approach is the “friendliness” of the Anylogistix environment
for novices. Beginners can create a chain supply model with a simple logic in Anylogistix. Experi-
enced users can create a supply chain model of medium complexity via basic functionality of
AnyLogic but without programming. Creating a supply chain digital twin requires a detailed de-
scription of the facilities and processes, complex logic tasks, creating experiments, collecting statis-
tics, and integration of the model with an ERP system and BI systems. Of course, creating a supply
chain model in CPLEX requires the developer to have a deep understanding of the system itself,
particularly the CP Optimizer module, as well as the use of a programming language (C++, Python).
The connection between the level of proficiency in Anylogistix/CPLEX and the complexity of the
model created is presented in Table 2.
Table 2. Connection between the level of proficiency in anyLogistix/CPLEX and the complexity of the
supply chain model created (developed by the authors)
Complexity of
the SC model
Level of proficiency in Anylogistix Level of proficiency in
CPLEX
Novice user Experienced user
(AnyLogic)
Advanced user
(AnyLogic + basic Java)
Expert
(AnyLogic + Java)
Expert
(CP Optimizer, C++, Py-thon)
Low
Network facil-
ities, simple
logic Network facili-
ties, complex
logic, processes
Network facilities,
complex logic, pro-
cesses, replacement and supply policies,
statistics
Network facilities,
complex logic, pro-
cesses, replacement and supply policies,
statistics, algorithms,
experiments, integra-tion with ERP
Network facilities, com-plex logic, processes, re-
placement and supply poli-
cies, statistics, algorithms, experiments, integration
with ERP
Medium
Increased
High
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Thus, Anylogistix does not present the developer of a supply chain model with as high of demands
in comparison to the development environment IBM ILOG CPLEX Optimization Studio. Even nov-
ice users can create a simple supply chain model in Anylogistix. However, the functionality of this
model is limited to determining the optimal coordinates for the location of new facilities (distribution
centers, warehouses) using the GFA or NOM methods. Creating supply chain models with complex
logic, a detailed simulation of processes, replacement and supply policies, collection of statistics, as
well as conducting experiments with these models and integrating them with ERP requires bringing
in experts and professionals in the field of simulation modeling. Consequently, highly qualified pro-
fessional programmers are needed to create a supply chain digital twin both in Anylogistix and in
IBM ILOG CPLEX Optimization Studio.
However, analyzed literature shows a consolidated and consistent view on what the Digital Twin is
as well as on the way of the concept’s evolvement in order to meet the needs of many use-cases. The
lack of consistency has led to multiple definitions of digital twinning processes. It can negatively
affect the original cause of Digital Twin as well as lead to missed benefits. The virtual spaces them-
selves can consist of any number of sub-spaces with specific virtual features like modelling, testing,
optimization, etc.
Mirroring or Twinning between the physical and virtual spaces was considered [(Jeon and Suh, 2018),
p. 2].
An analytical description of the generalized concept of digital twins is presented in the paper of
(Jones et al., 2020). The paper examines the two processes of creating twins — physical-virtual and
virtual-physical. These processes are called twinning. The connection between the physical and vir-
tual process when creating a digital twin was studied [(Jeon and Suh, 2018), p. 9].
The combination of both connections makes it possible to optimize a continuous cycle since the
possible physical states are predicted in the virtual environment and are optimized for a specific
purpose. In other words, the process of virtual optimization is carried out using the current state of
the physical/virtual facility. After this is determined, this optimal set of virtual parameters is trans-
ferred to the physical twin. The physical twin then reacts to the change, and the process is cyclically
repeated in order to update the virtual twin with the physical state measured. After this, it is possible
to compare the delta between the actual and predictable states and restart optimization with updated
information.
It is clear that both of the twinning processes are of important value when creating a supply chain
digital twin. Figure 5 presents a generalized view of the technology for a supply chain digital twin.
In our opinion, the main technologies which turn a physical supply chain into its digital twin (Phys-
ical-Virtual Twinning) are simulation, analytical optimization, and data analytics. These technolo-
gies are placed in the center of the twinning cycle above the line dividing the virtual and physical
environments. The main technologies converting a digital twin into a physical supply chain (Virtual-
Physical Twinning) are supply chain reconfiguration and re-engineering. These technologies are also
placed in the center of the twinning cycle below the line dividing the virtual and physical environ-
ments. Above the twinning cycle other technologies of a supply chain digital twin can be found,
while under the twinning cycle there are technologies which are associated with the physical pro-
cesses in supply chains (Open and Flexible Operations Footprint, No Warehouse in Supply Chain,
and Autonomous Transportation Vehicle / Equipment).
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Figure 5. Generalized technology of a supply chain digital twin (created by authors)
4. Conclusion The conducted research shows that according to most experts, a combination of simulation model-
ing, optimization, and data analytics makes up the full range of technologies which are needed to
create a supply chain digital twin model. This model is integrated with an online data flow and can
be used in risk management. By simulating and planning scenarios, it is possible to observe the
impact various failures in the supply chain and recovery policy have on its productivity. By inputting
changes into the supply chain digital twin model, it becomes possible to understand the dynamics of
a physical supply chain.
Ph
ysic
al-V
irtu
al T
win
nin
g
Realisation
Methodology
Virtual Entity
Methodology
Realisation
Virtual Entity
Physical Entity Physical Entity
IoT & Block Chain
Virtual Processes Virtual Processes
Physical Processes Physical Processes
Supply Chain Risk Analytics
Data Analytics & BI
Supply Chain Monitoring
Open and Flexible Operations Footprint
No Warehouse in Supply Chain
Autonomous Transportation Vehicle / Equipment
Simulation & Optimization
Big Data
Vir
tual
-Ph
ysic
al T
win
nin
g
Reconfiguration
Reengineering
Supply Chain Design & NOM
Autonomous FТS on open area steered by production machine
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The conceptual model for a supply chain digital twin which was examined includes methods such
as scenario planning, analytic optimization (GFA, NOM, VRP), simulation modeling, and support
for management decision making. Also the advantages and drawbacks of such tools as anyLogistix
and IBM ILOG CPLEX Optimization Studio used for creating a supply chain digital twin were
examinated. The level of proficiency in Anylogistix, CPLEX, and other similar tools is a key factor
when creating supply chain models with complex logic. Creating a supply chain digital twin requires
the expertise of specialists in the field of simulation modeling as well as professional programmers.
A summary of the technology of a supply chain digital twin was presented (see Figure 5). This
technology helps to: 1) clarify the concept of twinning; 2) clarify the connection between physical
supply chains and their digital twins; 4) specify the area of application for the different digital twin
technologies. In this way, the generalized digital twin technology can serve as a conceptual founda-
tion for creating a supply chain digital twin.
5. Points for Scientific Discussion Supply chain digital twins are a special object of study by their nature, differing from digital twins
of other physical facilities and processes. This is dictated by the very nature of the logistics config-
uration of supply chains as well as the specific nature of the relation of the virtual model and the
supply chain in the real world. The technologies for reconfiguring and re-engineering supply chains
can be placed at the center of the twinning cycle under the line dividing the virtual and physical
environments.
The research we have conducted is of a rather pilot nature and leaves a number of questions without
a definitive answer. Two questions which can be presented for discussion among the scientific com-
munity are, first of all, the question of which combination of simulation modeling, optimization, and
data analytics makes up the full range of technologies needed to create a supply chain digital twin
and, secondly, the question about which technologies other than reconfiguration and re-engineering
should be used for transforming a digital twin into a physical supply chain. The sources examined
in this work point out recovery or reconditioning as well as utilization or recycling as such technol-
ogies. In our opinion, these technologies are about smart factories but not to the supply chain digital
twins.
Conflict of Interest
The authors confirm that there is no conflict of interest to declare for this publication
Acknowledgements
This research work was supported by the Academic Excellence Project 5-100 proposed by Peter the Great St. Petersburg
Polytechnic University.
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